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420131504 = 241312891567
BaseRepresentation
bin11001000010101…
…011001010110000
31002021112220002002
4121002223022300
51330023202004
6105404513132
713261026122
oct3102531260
91067486062
10420131504
111a6176021
12b884b7a8
136906c830
143db25212
1526d3d61e
hex190ab2b0

420131504 has 40 divisors (see below), whose sum is σ = 877860480. Its totient is φ = 193632768.

The previous prime is 420131483. The next prime is 420131519. The reversal of 420131504 is 405131024.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267329 + ... + 268895.

It is an arithmetic number, because the mean of its divisors is an integer number (21946512).

Almost surely, 2420131504 is an apocalyptic number.

It is an amenable number.

420131504 is an abundant number, since it is smaller than the sum of its proper divisors (457728976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420131504 is a wasteful number, since it uses less digits than its factorization.

420131504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 420131504 is about 20497.1096498994. The cubic root of 420131504 is about 748.9653906194.

Subtracting from 420131504 its product of nonzero digits (480), we obtain a palindrome (420131024).

Adding to 420131504 its reverse (405131024), we get a palindrome (825262528).

The spelling of 420131504 in words is "four hundred twenty million, one hundred thirty-one thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 1289 1567 2578 3134 5156 6268 10312 12536 16757 20371 20624 25072 33514 40742 67028 81484 134056 162968 268112 325936 2019863 4039726 8079452 16158904 26258219 32317808 52516438 105032876 210065752 420131504